Least Common Multiple of 8165/578, 2321/1632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8165/578, 2321/1632 quickly i.e. 18950965/34 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8165/578, 2321/1632 is 18950965/34.

LCM(8165/578, 2321/1632) = 18950965/34

LCM of 8165/578, 2321/1632

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 8165/578,2321/1632

Given numbers are 8165/578,2321/1632

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 8165,2321

Least Common Multiple of Numerators i.e. LCM of 8165,2321 is 18950965.

GCF of Denominators means GCF of 578,1632 as per the given fractions.

GCF of 578,1632 is 34 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8165,2321

LCM of Fractions 8165/578,2321/1632 is 18950965/34

Given numbers has no common factors except 1. So, there LCM is their product i.e 18950965

Least Common Multiple of 8165,2321 with GCF Formula

Least Common Multiple of 8165,2321 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 8165,2321 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8165,2321) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(8165,2321) x common factors =1 x 1 = 1

LCM(8165,2321) = ( 8165 × 2321 ) / 1

LCM(8165,2321) = 18950965 / 1

LCM(8165,2321) = 18950965


Lets's calculate GCF of 578,1632

2 578, 1632
17 289, 816
17, 48

∴ So the GCF of the given numbers is 2 x 17 = 34

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18950965/34

Therefore the LCM of Fractions 8165/578,2321/1632 is 18950965/34

Greatest Common Factor of 578,1632 By Matching Biggest Common Factor Method

Greatest Common Factor of 578,1632 By Matching Biggest Common Factor Method

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Factors of 1632

List of positive integer factors of 1632 that divides 1632 without a remainder.

1,2,3,4,6,8,12,16,17,24,32,34,48,51,68,96,102,136,204,272,408,544,816,1632

Greatest Common Factor

We found the factors 578,1632 . The biggest common factor number is the GCF number.
So the greatest common factor 578,1632 is 34.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 8165/578, 2321/1632

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 8165/578, 2321/1632?

Answer: LCM of Numerators as per given numbers 8165/578, 2321/1632 is

LCM of Numerators i.e. for 8165,2321 is 18950965

GCF of denominators i.e. for 578,1632 is 34.

Thus, LCM of Fractions is 18950965/34.Finally, LCM of Fractions for 8165/578, 2321/1632 is 18950965/34.